14. In a certain community, 36% of the families own a dog and 22% of the families that own dog also own a cat. In addition, 30% of the families own a cat. What is (a) the probability that a randomly selected family owns both a dog and a cat? (b) the conditional probability that a randomly selected family owns a dog given that it owns a cat?

You have a box of chocolates that contains 14 pieces of which:5 are solid chocolate,4 are filled with cashews, and5 are filled with cherries.All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.

A dentist was making note of her upcoming appointments with different aged patients and the reasons for their visits. Regular Broken cleaning tooth Patients under 18 years old Patients 19-60 years 2 4 old What is the probability that a randomly selected appointment is for a regular cleaning given that the appointment is with patients 19-60 years old? Simplify any fractions.

You have a box of chocolates that contains 22 pieces of which:9 are solid chocolate,7 are filled with cashews, and6 are filled with cherries.All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.